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Finding the Fourth Proportional to 431,680.80, 596,511.60 and 410,939.76

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Solution

The fourth proportional to 431,680.80, 596,511.60 and 410,939.76 is: 567,850.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,680.80 : 596,511.60 = 410,939.76 : x
  2. Step 2: Convert to fraction form
    431,680.80/596,511.60 = 410,939.76/x
  3. Step 3: Cross multiply
    431,680.80x = 596,511.60 × 410,939.76
  4. Step 4: Simplify right side
    431,680.80x = 245,130,333,741.22
  5. Step 5: Solve for x
    x = 245,130,333,741.22/431,680.80
  6. Step 6: Final answer
    x = 567,850.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.